Practice worksheet on linear equations in one variable. Students can recall the lesson and practice the equations stepbystep and then try to represent the solution of the linear equation graphically.
1. Solve each of the following equations and represent the solution graphically.
(a) 7x + 2 = 19
(b) 3x  1/3 = 5
(c) 5x  4 = 21
(d) 7x = 21
(e) 18  7x = 3
(f) 3(x + 4) = 21
(g) 2x/3  3x/5 = 8
(h) 3x  9 = 5x  3
(i) 3(x  3) = 4(2x + 1)
2. Solve each of the following equations and check your solution by substituting in the equation.
(a) 3x/2  10 = 1/2
(b) x/2  x/3 = 8
(c) 6x  9  2(1  x) = x + 9
(d) 2(x  2)  5(x  5) = 4(x  8)  2(x  2)
(e) (2  y)/(y + 7) = 3/5
(f) (3x + 2)/(2x  3) =  3/2
(g) (x  8 )/3 = (x  3)/5
(h) 0.25(4y  3) = 0.5y  9
Answers for the worksheet on linear equations in one variable are given below so that students can check the exact answers after solving the equations.
1. (a) 3
(b) 1⁷/₉
(c) 5
(d) 3
(e) 3
(f) 3
(g) 120
(h) 3
(i) 2³/₅
2. (a) 7
(b) 48
(c) 20/7
(d) 49/5
(e) 11/8
(f) 5/12
(g) 31/2
(h) 16.5
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